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Finding the Fourth Proportional to 568,708.02, 784,817.10 and 314,075.61

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Solution

The fourth proportional to 568,708.02, 784,817.10 and 314,075.61 is: 433,424.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,708.02 : 784,817.10 = 314,075.61 : x
  2. Step 2: Convert to fraction form
    568,708.02/784,817.10 = 314,075.61/x
  3. Step 3: Cross multiply
    568,708.02x = 784,817.10 × 314,075.61
  4. Step 4: Simplify right side
    568,708.02x = 246,491,909,420.93
  5. Step 5: Solve for x
    x = 246,491,909,420.93/568,708.02
  6. Step 6: Final answer
    x = 433,424.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.